Name Class Date 

Exploring Square Roots and Irrational Numbers 

Practice 3-1 

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All rights reserved. 

Find the two square roots of each number. 

91

1. 81 2. 3. 4. 289
49 121 

77 1111 

Find each square root. Round to the nearest tenth if necessary. 

5. !130 6. !8 7. !144 8. !160 
9. !182 10. !256 11. !301 12. !350 
Identify each number as rational or irrational. 

13. !16 14. !11 15. !196 
4

16. 17. 0.712 18. -8
5 

19. !3 20. 5.2 21. 0.1010010001 . . . 
22. 2!25 23. !306 24. 2.7064 
Use s  20 !273 1 T to estimate the speed of sound s in meters per 
second for each Celsius temperature T. Round to the nearest integer. 

25. 37C 26. 1C 27. 15C 28. 18C 
Find the value of each expression. 

29. "(49)2 30. (!169)2 31. "(2.7)2 32. "(4)2 
Estimate the value of each expression to the nearest integer. 
33. !5 34. !4 35. !3 
36. !245 37. !21 38. !50 

225
Practice Course 3 Lesson 3-1 


